138414467561461 has 32 divisors (see below), whose sum is σ = 180422524835840. Its totient is φ = 103114301448384.

The previous prime is 138414467561431. The next prime is 138414467561467. The reversal of 138414467561461 is 164165764414831.

It is a cyclic number.

It is not a de Polignac number, because 138414467561461 - 2³⁷ = 138277028607989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138414467561461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138414467561467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245284545 + ... + 245848198.

It is an arithmetic number, because the mean of its divisors is an integer number (5638203901120).

Almost surely, 2^{138414467561461} is an apocalyptic number.

It is an amenable number.

138414467561461 is a deficient number, since it is larger than the sum of its proper divisors (42008057274379).

138414467561461 is a wasteful number, since it uses less digits than its factorization.

138414467561461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491132945.

The product of its digits is 46448640, while the sum is 61.

The spelling of 138414467561461 in words is "one hundred thirty-eight trillion, four hundred fourteen billion, four hundred sixty-seven million, five hundred sixty-one thousand, four hundred sixty-one".